2b^2-81b+117=0

Solution for 2b^2-81b+117=0 equation:

Simplifying
2b2 + -81b + 117 = 0

Reorder the terms:
117 + -81b + 2b2 = 0

Solving
117 + -81b + 2b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(3 + -2b)(39 + -1b) = 0

Subproblem 1
Set the factor '(3 + -2b)' equal to zero and attempt to solve:

Simplifying
3 + -2b = 0

Solving
3 + -2b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -2b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2b = 0 + -3
-2b = 0 + -3

Combine like terms: 0 + -3 = -3
-2b = -3

Divide each side by '-2'.
b = 1.5

Simplifying
b = 1.5
Subproblem 2
Set the factor '(39 + -1b)' equal to zero and attempt to solve:

Simplifying
39 + -1b = 0

Solving
39 + -1b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-39' to each side of the equation.
39 + -39 + -1b = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -1b = 0 + -39
-1b = 0 + -39

Combine like terms: 0 + -39 = -39
-1b = -39

Divide each side by '-1'.
b = 39

Simplifying
b = 39
Solution
b = {1.5, 39}